Home / Faculty / Ventura, Jade

Ventura, Jade

Assistant Professor
Email Addressjventura@math.upd.edu.ph
RoomMath Building 216
Websitevisit website (external)
Research Interests
Differential geometry. Mathematical models in (a) fundamental physics, (b) evolutionary genetics, (c) consciousness research.
  • Education
    • PhD Mathematics (2021)
      Université de Bretagne Occidentale

      Dissertation: Biconformal Deformations and Solutions to the Einstein Equation
      Adviser: Dr. Paul Baird

    • MS Mathematics (2014)
      University of the Philippines Diliman

      Thesis: Parallel Travel on Spacetime Manifolds
      Adviser: Dr. Richard S. Lemence

    • BS Applied Mathematics (2010), class valedictorian
      University of the Philippines Mindanao

      Thesis: Behavior Pattern Discovery Using Behavior Matrices and Behavior Prediction Relationships: The Case of Prey Delivery Instances of the Philippine Eagle Pithecophaga jefferyi
      Adviser: Dr. May Anne E. Mata

  • Research

    Current research projects

    1. Fundamental physics
      Deformation of solutions to the Einstein equation
    2. Evolutionary genetics
      Deformation of information manifolds
    3. Consciousness research
      Models of consciousness: Mathematical structure and applications

    Projects for future research students

    1. Fundamental physics
      Biconformal deformation of solutions to the Einstein equation
      Differential equations from biconformal deformation
    2. Evolutionary genetics
    3. Consciousness research
      Integrated information theory: Mathematical structure and applications
      Global neuronal workspace theory: Mathematical structure and applications

    Featured research students

    1. Arjun Lhanz Antolin
      Multi-view geometry and spherical projections
    2. Ana Katrina Asuncion
      Integrated information theory: Mathematical structure and applications
    3. Garry Dacillo
      Braided ribbons and free groups
    4. Sherwin Pareña
      Generalizations of Einstein manifolds
    5. Cedie Reyes
      Biconformal deformation of Ricci solitons
  • Teaching

    Featured courses

    1. Undergraduate courses
      Math 140 Introduction to modern geometries
      Math 142 Elementary topology
      Math 146 Introduction to differential geometry
    2. Graduate courses
      Math 242 General topology
      Math 243 Algebraic topology
      Math 246 Differential geometry
  • Publications
    1. P. Baird and J. Ventura, Four-dimensional Einstein metrics from biconformal deformations, Arch. Math. 57 (2021), no. 5, 255-283, DOI 10.5817/AM2021-5-255.